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Simplifying x2 + 50x + -975 = 0 Reorder the terms: -975 + 50x + x2 = 0 Solving -975 + 50x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-65 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(-65 + -1x)' equal to zero and attempt to solve: Simplifying -65 + -1x = 0 Solving -65 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -1x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -1x = 0 + 65 -1x = 0 + 65 Combine like terms: 0 + 65 = 65 -1x = 65 Divide each side by '-1'. x = -65 Simplifying x = -65Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-65, 15}
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